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Finding the Third Proportional to 23,409 and 50,523.75

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Solution

The third proportional to 23,409 and 50,523.75 is: 109,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409 : 50,523.75 = 50,523.75 : x
  2. Step 2: Convert to fraction form
    23,409/50,523.75 = 50,523.75/x
  3. Step 3: Cross multiply
    23,409x = 50,523.75 × 50,523.75
  4. Step 4: Simplify right side
    23,409x = 2,552,649,314.06
  5. Step 5: Solve for x
    x = 2,552,649,314.06/23,409
  6. Step 6: Final answer
    x = 109,045.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.